I'm a little late in chiming in on this topic but I went on the path of using strips to make my own cabinet lights in our home. They worked out so well I decided to try somehow to convert my 1990 incandescent fixtures with the early square panels which failed due to excessive heat. Then I found some strps mounted on aluminum sheets. To be honest, I forget exactly how I converted the fixtures but I think I made new backs for each of the fixtures out of metal and threw away the curved reflectors. They did and still are working well.
In our Winnie, we had flourescent fixtures and like mentioned earlier, stripped out the insides and glued the aluminum strips to the backplates. They were way to bright so I rewired two of the strips to a switch mounted in the fixture. Using the aluminum strips probably necessary as a heat sink but I liked having them.
In the archives is my post including several photos of the conversion of flourescent to LED.
Because we go to Q every year for the gems, rv show and swapmeets, I shopped around and founf inexpensive LED bulbs for the other fixtures that needed bulbs and so there are only 8 small decorated bulbs in the vanity fixtures that are filement bulbs. Those spherical frosted bulbs are very expensive and so seldom on that I didn't replace them.